Priya posted an Question
November 16, 2021 • 12:43 pm 5 points
  • IIT JAM
  • Mathematics (MA)

Show that in any group of hundred order that every element has order that is a power of a prime or there is an element of order 10

show that in any group of hundred order that every element has order that is a power of a prime or there is an element of order 10

1 Answer(s) Answer Now
  • 0 Likes
  • 1 Comments
  • 0 Shares
  • Anonymous User best-answer

     By Lagrange's theorem , possible orders of elements of G are 1,2,4,5,10,20,25,50 and 100.  O(x²⁵) is 4 which is 2² O(x⁹) is 100 which is 10² 0(x⁵⁰) is 2

whatsapp-btn

Do You Want Better RANK in Your Exam?

Start Your Preparations with Eduncle’s FREE Study Material

  • Updated Syllabus, Paper Pattern & Full Exam Details
  • Sample Theory of Most Important Topic
  • Model Test Paper with Detailed Solutions
  • Last 5 Years Question Papers & Answers